The inference of entangled quantum states by recourse to the maximum entropy (MaxEnt) principle is considered in connection with the recently pointed out problem of fake inferred entanglement (Horodecki R et al 1999 Phys. Rev. A 59 1799). We show that there are operators (A) over cap (2), both diagonal and non-diagonal in the Bell basis, such that, when the expectation value <(A) over cap > is taken as prior information, the problem of fake entanglement is not solved by adding a new constraint associated with the mean value of (A) over cap (2) (unlike what happens when the partial information is given by the expectation value of a Bell operator). The fake entanglement generated by the MaxEnt principle is also studied quantitatively by comparing the entanglement of formation of the inferred state with that of the original one. [References: 20]
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机译：结合最近指出的假推断纠缠问题，考虑了借助于最大熵（MaxEnt）原理推断纠缠量子态的方法（Horodecki R等1999 Phys。Rev. A 59 1799）。我们证明在Bell的基础上，有对顶（2）的算子（A），对角线和非对角线，使得当期望值<（A over cap）>作为先验信息时，假问题不能通过添加与上限（2）上的（A）平均值相关的新约束来解决纠缠（与当Bell算子的期望值给出部分信息时发生的情况不同）。通过比较推断态的形成与原始状态的形成纠缠，还对通过MaxEnt原理生成的伪纠缠进行了定量研究。 [参考：20]
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